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Simplifying 5(x + 2) = 1 + -3(x + 6) Reorder the terms: 5(2 + x) = 1 + -3(x + 6) (2 * 5 + x * 5) = 1 + -3(x + 6) (10 + 5x) = 1 + -3(x + 6) Reorder the terms: 10 + 5x = 1 + -3(6 + x) 10 + 5x = 1 + (6 * -3 + x * -3) 10 + 5x = 1 + (-18 + -3x) Combine like terms: 1 + -18 = -17 10 + 5x = -17 + -3x Solving 10 + 5x = -17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 5x + 3x = -17 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = -17 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = -17 + 0 10 + 8x = -17 Add '-10' to each side of the equation. 10 + -10 + 8x = -17 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -17 + -10 8x = -17 + -10 Combine like terms: -17 + -10 = -27 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375
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